Year 9 Index Laws Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 9 indices & scientific notation worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Indices & Scientific NotationYear 9 Index Laws Worksheet — Level 1 — Practice Set 3 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x5 × x7
Answer: x12
Add the indices: 5 + 7 = 12
2.Simplify: x9 ÷ x8
Answer: x1
Subtract the indices: 9 − 8 = 1
3.Simplify: x8 × x7
Answer: x15
Add the indices: 8 + 7 = 15
4.Simplify: x9 ÷ x6
Answer: x3
Subtract the indices: 9 − 6 = 3
5.Simplify: x9 ÷ x7
Answer: x2
Subtract the indices: 9 − 7 = 2
6.Simplify: x10 ÷ x4
Answer: x6
Subtract the indices: 10 − 4 = 6
7.Simplify: x3 × x6
Answer: x9
Add the indices: 3 + 6 = 9
8.Simplify: x7 × x9
Answer: x16
Add the indices: 7 + 9 = 16
9.Simplify: x6 × x7
Answer: x13
Add the indices: 6 + 7 = 13
10.Simplify: x9 ÷ x4
Answer: x5
Subtract the indices: 9 − 4 = 5
11.Simplify: x10 ÷ x8
Answer: x2
Subtract the indices: 10 − 8 = 2
12.Simplify: x7 × x2
Answer: x9
Add the indices: 7 + 2 = 9
13.Simplify: x7 ÷ x5
Answer: x2
Subtract the indices: 7 − 5 = 2
14.Simplify: x2 × x9
Answer: x11
Add the indices: 2 + 9 = 11
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.